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Finding the Fourth Proportional to 113,496.64, 170,348.64 and 87,115.84

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Solution

The fourth proportional to 113,496.64, 170,348.64 and 87,115.84 is: 130,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,496.64 : 170,348.64 = 87,115.84 : x
  2. Step 2: Convert to fraction form
    113,496.64/170,348.64 = 87,115.84/x
  3. Step 3: Cross multiply
    113,496.64x = 170,348.64 × 87,115.84
  4. Step 4: Simplify right side
    113,496.64x = 14,840,064,866.46
  5. Step 5: Solve for x
    x = 14,840,064,866.46/113,496.64
  6. Step 6: Final answer
    x = 130,753.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.